We show that Anderson localization is possible in waveguide arrays with periodically spaced defect waveguides
having a lower refractive index. Such localization is mediated by Bragg reflection, and it takes place even if ...

We show that an inhomogeneous defocusing nonlinearity that grows toward the periphery in the positive and negative transverse directions at different rates can support strongly asymmetric fundamental and multipole bright ...

We introduce a general approach for generation of sets of three-dimensional quasi-nonspreading wave packets
propagating in linear media, also referred to as linear light bullets. The spectrum of rigorously nonspreading ...

We put forward a new approach to generate stable, fully three-dimensional light bullets, which is based
on the matching of the intrinsic material dispersion with a suitable effective diffraction. The matching is
achieved ...

We introduce a concept for stable spatial soliton formation, mediated by the competition between self-bending induced by a strongly asymmetric nonlocal nonlinearity and spatially localized gain superimposed on a wide ...

We uncover that, in contrast to the common belief, stable dissipative solitons exist in media with uniform gain in the presence of nonuniform cubic losses, whose local strength grows with coordinate η (in one dimension) ...

We introduce a mechanism to stabilize spatiotemporal solitons in Kerr nonlinear media, based on the dispersion of
linear coupling between the field components forming the soliton states. Specifically, we consider solitons ...

We show the existence of stable two- and three-dimensional vortex solitons carrying multiple, spatially separated, single-charge topological dislocations nested in a common vortex-ring core. Such nonlinear states are ...

We reveal that the competition among diffraction, cubic nonlinearity, two-photon absorption, and gain localized in both space and time results in arrest of collapse, suppression of azimuthal modulation instabilities for ...